Finite Group Databasebeta

← Group #179803

Character table — Group #179803

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444488888888224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111-1-111-11-1-1-1-1-1-11-1-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-11-11111-1-1-1111-1-1-1-1-1-1-1-1
χ5111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-11-111-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-11-1-111111111
χ911111111-1-11-1-11-1-11111-11111-1-1-1-11-1111-1-1-1111-1-11-1-111-1-111-1-1
χ1011111111-1-11-1-11-1-11111-11111-1-1-1-11-1-1-1-1111-1-11-11-111-1-11111-1-1
χ1111111111-1-11-1-11-1-11111-11111-1-1-1-1-1111-1-111-1-1-11-1-11111-1-1-1-111
χ1211111111-1-11-1-11-1-11111-11111-1-1-1-1-11-1-111-1-111-1111-1-1-1-111-1-111
χ1311111111-1-11-1-11-1-11111-1-1-1-1-111111-1111-1-1-1-1-11-1-1111-1-111-1-111
χ1411111111-1-11-1-11-1-11111-1-1-1-1-111111-1-1-1-1111111-11-1-1-111-1-1-1-111
χ1511111111-1-11-1-11-1-11111-1-1-1-1-11111-1111-1-11111-11-1-1-1-1-1-11111-1-1
χ1611111111-1-11-1-11-1-11111-1-1-1-1-11111-11-1-111-1-1-1-1-11111111-1-111-1-1
χ1722222222222-2-2-2-2-2-2-22-2200000000002-202000000-200000000000
χ1822222222222-2-2-2-2-2-2-22-220000000000-220-2000000200000000000
χ192222222222-222-2-2-222-2-2-2000000002-200000000-22000000000000
χ202222222222-222-2-2-222-2-2-200000000-22000000002-2000000000000
χ212222222222-2-2-2222-2-2-22-2000000000000202-200000-20000000000
χ222222222222-2-2-2222-2-2-22-2000000000000-20-220000020000000000
χ2322222222-2-2222-222-2-22-2-200000000002-20-2000000200000000000
χ2422222222-2-2222-222-2-22-2-20000000000-2202000000-200000000000
χ2522222222-2-2-2222-2-2-2-2-22200000000000020-2200000-20000000000
χ2622222222-2-2-2222-2-2-2-2-222000000000000-202-20000020000000000
χ2722222222-2-2-2-2-2-22222-2-22000000002200000000-2-2000000000000
χ2822222222-2-2-2-2-2-22222-2-2200000000-2-20000000022000000000000
χ294444-4-4-4-4000000004-400000002222−22−22000000000000000000000000
χ304444-4-4-4-4000000004-40000000−22−222222000000000000000000000000
χ314444-4-4-4-400000000-440002222−22−220000000000000000000000000000
χ324444-4-4-4-400000000-44000−22−2222220000000000000000000000000000
χ3344-4-4-44-4400000400000-400000000000000000000000000000002i2−2i2
χ3444-4-4-44-4400000400000-40000000000000000000000000000000−2i22i2
χ3544-4-4-44-4400000-40000040000000000000000000000000000022−2200
χ3644-4-4-44-4400000-400000400000000000000000000000000000−222200
χ374-44-44-4-440040000000-4002i2−2i22i2−2i20000000000000000000000000000
χ384-44-44-4-440040000000-400−2i22i2−2i22i20000000000000000000000000000
χ394-44-44-4-4400-40000000400000022−2222−22000000000000000000000000
χ404-44-44-4-4400-400000004000000−2222−2222000000000000000000000000
χ414-44-4-444-40004i−4i000000002i−2i−2i2i2-2-22000000000000000000000000
χ424-44-4-444-40004i−4i00000000−2i2i2i−2i-222-2000000000000000000000000
χ434-44-4-444-4000−4i4i000000002i−2i−2i2i-222-2000000000000000000000000
χ444-44-4-444-4000−4i4i00000000−2i2i2i−2i2-2-22000000000000000000000000
χ454-4-4444-4-40000004-40000000000000000000002i−2i00002i−2i00000000
χ464-4-4444-4-40000004-4000000000000000000000−2i2i0000−2i2i00000000
χ474-4-4444-4-4000000-440000000000000000000002i−2i0000−2i2i00000000
χ484-4-4444-4-4000000-44000000000000000000000−2i2i00002i−2i00000000
χ494-4-44-4-4444-4000000000000000000000000000000000002-22-20000
χ504-4-44-4-4444-400000000000000000000000000000000000-22-220000
χ514-4-44-4-444-44000000000000000000000000000000000002-2-220000
χ524-4-44-4-444-4400000000000000000000000000000000000-222-20000
χ5388-8-88-88-8000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).